Scholastic Video - Tumblr Posts

When I was a kid we had a big box collection of scholastic videos and in every video you would be reada story and shown it through animation that kept the art style of the original picture book.

There's one in particular that I keep thinking about but can't remember the name of. It's about an old woman with a cat who adopts a dog. The cat is immediately very jealous and tries to get rid of the dog. Eventually they succeed, but upon the dog's disappearance the old woman becomes depressed (or sick, I hardly remember) and refuses to leave her bed. She keeps asking where the dog is and the cat brings him back, having learned that the old woman's happiness is more important than their pride.

I'm hoping against all hope that someone else is familiar with this story and can tell me the name. I don't think I'll know rest until then.